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Novel fuzzy similarity measures and their applications in pattern recognition and clustering analysis

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Abstract

Fuzzy similarity measures are utilized to match two or more records and are essential to deal with data classification and pattern-matching problems. We have noticed that the existing studies on similarity measures in the classical fuzzy framework have certain issues, for example, inappropriate identification of structured linguistic variables, inappropriate classification results, etc. In this paper, we propose three new fuzzy similarity measures based on continuous functions and realize their advantages in connection with their application to pattern recognition and cluster analysis. The validity of clusters is also identified using the concept of cluster validity index. The experimental results demonstrate that the proposed similarity measures show higher accuracy in the identification of structured linguistic variables and a higher degree of confidence in the classification of unknown patterns. Several application examples with artificial and real data are utilized to demonstrate the credibility and advantages of the proposed similarity measures.

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The data supporting this study's findings are artificial and real and, can be referred from this manuscript and link of the websites provided within the text.

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Acknowledgements

The authors would like to thank the Editor-in-Chief and anonymous referees for providing valuable inputs for the improvement of this paper.

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Contributions

KS wrote the main manuscript and S.S. edited the final version. KS proposed the idea and validated numerical studies and SS finalized the structure of the work and supervised the work. All authors reviewed the manuscript.

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Correspondence to Surender Singh.

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The authors declare that there are no conflicts of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

Appendix A

Appendix A

See Tables 18, 19

Table 18 Real data from the Iris database
Table 19 Fuzzy representation of the Iris database

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Singh, S., Singh, K. Novel fuzzy similarity measures and their applications in pattern recognition and clustering analysis. Granul. Comput. 8, 1715–1737 (2023). https://doi.org/10.1007/s41066-023-00393-y

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  • DOI: https://doi.org/10.1007/s41066-023-00393-y

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